Linear Applications and Simple Objects

Related lectures (32)

Page 3 of 4

Covers adjunctions and functor categories, emphasizing their significance in category theory and applications in deep learning.

Introduces the theory of categories by generalizing the Cartesian product and disjoint union of sets to any category.

Explores natural transformations in group theory and category theory, emphasizing functor composition and morphism composition.

Covers simplicial and cosimplicial objects in category theory with practical examples.

Explores the homotopy theory of chain complexes, focusing on model categories, weak equivalences, and the retraction axiom.

Explores constructing desired adjoints in specific categories like Set.

Covers the theory of harmonic response, including decomposition into simple elements and stable system behavior.

Discusses adjunctions, products, and coproducts in category theory.

Explores building categories from graphs and the encoding of information by functors.

Explores adjoint functors, points fixes, orbits, and non-trivial actions in group theory.